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A backbone of a propositional CNF formula is a variable whose truth value is the same in every truth assignment that satisfies the formula. The notion of backbones for CNF formulas has been studied in various contexts. In this paper, we…

Computational Complexity · Computer Science 2014-07-21 Ronald de Haan , Iyad Kanj , Stefan Szeider

Many small-scale software systems, that is, with limited codebase or binary size, are widely used in everyday tasks, yet their configurability remains largely unexplored. At the same time, studies on modern software systems show a trend…

Software Engineering · Computer Science 2026-04-20 Xhevahire Tërnava , Georges Aaron Randrianaina , Luc Lesoil , Mathieu Acher

Almost every software system provides configuration options to tailor the system to the target platform and application scenario. Often, this configurability renders the analysis of every individual system configuration infeasible. To…

Software Engineering · Computer Science 2016-02-17 Flávio Medeiros , Christian Kästner , Márcio Ribeiro , Rohit Gheyi , Sven Apel

The boolean satisfiability (SAT) problem asks whether there exists an assignment of boolean values to the variables of an arbitrary boolean formula making the formula evaluate to True. It is well-known that all NP-problems can be coded as…

Machine Learning · Computer Science 2024-10-22 Christopher R. Serrano , Jonathan Gallagher , Kenji Yamada , Alexei Kopylov , Michael A. Warren

Boolean formulae compactly encode huge, constrained search spaces. Thus, variability-intensive systems are often encoded with Boolean formulae. The search space of a variability-intensive system is usually too large to explore without…

Logic in Computer Science · Computer Science 2025-03-19 Olivier Zeyen , Maxime Cordy , Martin Gubri , Gilles Perrouin , Mathieu Acher

The local search algorithm WSat is one of the most successful algorithms for solving the satisfiability (SAT) problem. It is notably effective at solving hard Random 3-SAT instances near the so-called `satisfiability threshold', but still…

Artificial Intelligence · Computer Science 2011-06-02 I. P. Gent , J. Singer , A. Smaill

Branch-and-cut is the most widely used algorithm for solving integer programs, employed by commercial solvers like CPLEX and Gurobi. Branch-and-cut has a wide variety of tunable parameters that have a huge impact on the size of the search…

Machine Learning · Computer Science 2022-05-13 Maria-Florina Balcan , Siddharth Prasad , Tuomas Sandholm , Ellen Vitercik

Given a Boolean specification between a set of inputs and outputs, the problem of Boolean functional synthesis is to synthesise each output as a function of inputs such that the specification is met. Although the past few years have…

Artificial Intelligence · Computer Science 2021-08-13 Priyanka Golia , Friedrich Slivovsky , Subhajit Roy , Kuldeep S. Meel

This paper approaches, using structural complexity theory, the question of whether there is a chasm between knowing an object exists and getting one's hands on the object or its properties. In particular, we study the nontransparency of…

Artificial Intelligence · Computer Science 2019-01-15 Lane A. Hemaspaandra , David E. Narváez

Backdoors and backbones of Boolean formulas are hidden structural properties. A natural goal, already in part realized, is that solver algorithms seek to obtain substantially better performance by exploiting these structures. However, the…

Artificial Intelligence · Computer Science 2018-11-05 Lane A. Hemaspaandra , David E. Narváez

Modern computer systems are highly configurable, with the total variability space sometimes larger than the number of atoms in the universe. Understanding and reasoning about the performance behavior of highly configurable systems, over a…

Machine Learning · Computer Science 2022-03-21 Md Shahriar Iqbal , Rahul Krishna , Mohammad Ali Javidian , Baishakhi Ray , Pooyan Jamshidi

Configuration in software systems helps to ensure efficient operation and meet diverse user needs. Yet, some, if not all, configuration options have profound implications for the system's performance. Configuration performance analysis,…

Software Engineering · Computer Science 2025-02-07 Hongyuan Liang , Yue Huang , Tao Chen

Applying deep learning to solve real-life instances of hard combinatorial problems has tremendous potential. Research in this direction has focused on the Boolean satisfiability (SAT) problem, both because of its theoretical centrality and…

Artificial Intelligence · Computer Science 2023-06-06 Dimitris Achlioptas , Amrit Daswaney , Periklis A. Papakonstantinou

A number of SAT-based analysis concepts and tools for software product lines exist, that extract code dependencies in propositional logic from the source code assets of the product line. On these extracted conditions, SAT-solvers are used…

Software Engineering · Computer Science 2021-10-13 Adam Krafczyk , Sascha El-Sharkawy , Klaus Schmid

Boolean networks are powerful mathematical tools for modeling the qualitative dynamics of genetic regulation. Yet inferred models often generate spurious attractors that lack biological viability. In this paper, we propose a parsimonious…

Molecular Networks · Quantitative Biology 2026-04-30 Jacques Demongeot , Alonso Espinoza Rojas , Eric Goles , Marco Montalva-Medel , Sylvain Sené , Laurent Tichit

A novel approach for structure alignment is presented, where the key ingredients are: (1) An error function formulation of the problem simultaneously in terms of binary (Potts) assignment variables and real-valued atomic coordinates. (2)…

Biological Physics · Physics 2007-05-23 M. Ohlsson , C. Peterson , M. Ringner , R. Blankenbecler

The formula-evaluation problem is defined recursively. A formula's evaluation is the evaluation of a gate, the inputs of which are themselves independent formulas. Despite this pure recursive structure, the problem is combinatorially…

Quantum Physics · Physics 2009-07-10 Ben W. Reichardt

Performance is arguably the most crucial attribute that reflects the quality of a configurable software system. However, given the increasing scale and complexity of modern software, modeling and predicting how various configurations can…

Software Engineering · Computer Science 2024-11-05 Jingzhi Gong , Tao Chen

In this paper, we give a number of new exact algorithms and heuristics to compute linear boolean decompositions, and experimentally evaluate these algorithms. The experimental evaluation shows that significant improvements can be made with…

Computational Complexity · Computer Science 2015-09-28 Chiel B. Ten Brinke , Frank J. P. van Houten , Hans L. Bodlaender

VARCLUST algorithm is proposed for clustering variables under the assumption that variables in a given cluster are linear combinations of a small number of hidden latent variables, corrupted by the random noise. The entire clustering task…

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